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Finding the Third Proportional to 356,982 and 750,778.50

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Solution

The third proportional to 356,982 and 750,778.50 is: 1,578,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,982 : 750,778.50 = 750,778.50 : x
  2. Step 2: Convert to fraction form
    356,982/750,778.50 = 750,778.50/x
  3. Step 3: Cross multiply
    356,982x = 750,778.50 × 750,778.50
  4. Step 4: Simplify right side
    356,982x = 563,668,356,062.25
  5. Step 5: Solve for x
    x = 563,668,356,062.25/356,982
  6. Step 6: Final answer
    x = 1,578,982.57

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.